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Finding the Fourth Proportional to 21,794.46, 32,670.09 and 13,016.22

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Solution

The fourth proportional to 21,794.46, 32,670.09 and 13,016.22 is: 19,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.46 : 32,670.09 = 13,016.22 : x
  2. Step 2: Convert to fraction form
    21,794.46/32,670.09 = 13,016.22/x
  3. Step 3: Cross multiply
    21,794.46x = 32,670.09 × 13,016.22
  4. Step 4: Simplify right side
    21,794.46x = 425,241,078.86
  5. Step 5: Solve for x
    x = 425,241,078.86/21,794.46
  6. Step 6: Final answer
    x = 19,511.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.